An indication of emergent Carrollian symmetry in a system is the vanishing of the commutator of Hamiltonians at different spacetime points [1]}. Although in the case of the lower fermions, this was trivial, due to the presence of spatial derivatives, this is no longer obvious for the upper fermions. We check this explicitly below. One can impose the canonical commutation relations, which read
\(&&\lbrace \Pi (x),\Psi (x^{\prime })\rbrace  = \delta (x-x^{\prime }) \rightarrow \lbrace \bar{\Psi }(x),\Psi (x^{\prime })\rbrace  = \hat{\gamma }^0\delta (x-x^{\prime }) \nonumber \\&&\lbrace \Psi (x),\Psi (x^{\prime })\rbrace  = \lbrace \bar{\Psi }(x),\bar{\Psi }(x^{\prime })\rbrace  = 0\) 
